A complete characterization of mixed state entanglement using probability density functions
| dc.creator | Bhardwaj, Shanthanu | |
| dc.creator | Ravishankar, V. | |
| dc.date | 2007-03-02 | |
| dc.date | 2007-04-06 | |
| dc.date.accessioned | 2026-07-07T07:55:24Z | |
| dc.date.available | 2026-07-07T07:55:24Z | |
| dc.description | We propose that the entanglement of mixed states is characterised properly in terms of a probability density function $\mathcal{P}(\mathcal{E})$. There is a need for such a measure since the prevalent measures (such as \textit{concurrence} and \textit{negativity}) are rough benchmarks, and not monotones of each other. Considering the specific case of two qubit mixed states, we provide an explicit construction of $\mathcal{P}(\mathcal{E})$ and show that it is characterised by a set of parameters, of which concurrence is but one particular combination. $\mathcal{P}(\mathcal{E})$ is manifestly invariant under $SU(2) \times SU(2)$ transformations. It can, in fact, reconstruct the state up to local operations - with the specification of at most four additional parameters. Finally the new measure resolves the controversy regarding the role of entanglement in quantum computation in NMR systems. | |
| dc.description | four pages, four figures | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0703017 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0703017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126956 | |
| dc.subject | Quantum Physics | |
| dc.subject | Other Condensed Matter | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | A complete characterization of mixed state entanglement using probability density functions | |
| dc.type | text |